Finding the Fourth Proportional to 9,382.70, 12,946.42 and 5,403.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,382.70 : 12,946.42 = 5,403.58 : x
2. Step 2: Convert to fraction form
   9,382.70/12,946.42 = 5,403.58/x
3. Step 3: Cross multiply
   9,382.70x = 12,946.42 × 5,403.58
4. Step 4: Simplify right side
   9,382.70x = 69,957,016.18
5. Step 5: Solve for x
   x = 69,957,016.18/9,382.70
6. Step 6: Final answer
   x = 7,455.96